Math From Scratch show

Math From Scratch

Summary: A long term series of PDF format lessons, building mathematics from scratch. New lessons are posted the first day of the month ten months of the year (January - June and September - December.)

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  • Artist: W. Blaine Dowler
  • Copyright: ℗ & © 2010 W. Blaine Dowler

Podcasts:

 Constructing an Impossible Number | File Type: application/pdf | Duration: Unknown

Examining the non-terminating, non-repeating decimal numbers and their implications.

 Decimal Representation | File Type: application/pdf | Duration: Unknown

Introducing decimal representations in base 10, and converting to and from fraction and decimal notations.

 Rational Exponents | File Type: application/pdf | Duration: Unknown

Introducing rational numbers in the context of exponents

 Infinite Sequences and Series | File Type: application/pdf | Duration: Unknown

Introducing infinite sequences and series, and some of the related problems that arise.

 Finite Sequences and Series | File Type: application/pdf | Duration: Unknown

Introducing finite sequences and finite series

 Infinite Processes | File Type: application/pdf | Duration: Unknown
 Defining the Rational Numbers | File Type: application/pdf | Duration: Unknown

Defining the rational numbers, which include any and all numbers which can be written as fractions.

 The Field Axioms | File Type: application/pdf | Duration: Unknown

This lesson begins with the construction of the most common algebraic structure.

 The RSA Encryption Algorithm | File Type: application/pdf | Duration: Unknown

The RSA encryption algorithm is an incredibly important part of the encryption puzzle. This is how it works.

 Totients | File Type: application/pdf | Duration: Unknown

Totients are an incredibly important piece of the RSA encryption puzzle

 Chinese Remainder Theorem | File Type: application/pdf | Duration: Unknown

Covering one of the key thoerems in modern algebra

 Linear Diophantine Equations | File Type: application/pdf | Duration: Unknown

Solving Linear Diophantine Equations

 The Euclidean Algorithm | File Type: application/pdf | Duration: Unknown

Introducing the Euclidean Algorithm

 Modular Arithmetic | File Type: application/pdf | Duration: Unknown

Introducing modular arithmetic and modular rings

 Divisibility Rules | File Type: application/pdf | Duration: Unknown

Compiling the divisibility rules in base 10

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